Hall coefficient in an interacting electron gas

2002/12/31 by Maxim Khodas, M. Khodas, A. M. Finkel'stein +1 · 2 citations
Physics and Astronomy · #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #Quantum, superfluid, helium dynamics #cond-mat.str-el

paper · pdf · doi:10.1103/physrevb.68.155114

published as Phys. Rev. B 68, 155114 (2003) · 23 pages, 15 figures

openalex publication_date 2003/10/23 · arxiv created 2004/01/18 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The Hall conductivity in a weak homogeneous magnetic field, \ensuremathω_c\ensuremathτ\ensuremath≪1, is calculated. We have shown that to leading order in 1/\ensuremathε_F\ensuremathτ the Hall coefficient R_H is not renormalized by the electron-electron interaction. Our result explains the experimentally observed stability of the Hall coefficient in a dilute electron gas not too close to the metal-insulator transition. We avoid the currently used procedure that introduces an artificial spatial modulation of the magnetic field. The problem of the Hall effect is reformulated in a way such that the magnetic flux associated with the scattering process becomes the central element of the calculation.

Citations

• Indication of the Ferromagnetic Instability in a Dilute Two-Dimensional Electron System

Cited by

• Chiral spin resonance and spin-Hall conductivity in the presence of the electron-electron interactions
• Hall effect in heavy fermion metals

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